Hello!
We can use the following equation:
[tex]B = \mu_0 ni[/tex]
B = Magnetic field strength (T)
μ₀ = Permeability of free space (Tm/A)
n = # of loops per unit length
We are given the total number of loops (N), so divide by length:
[tex]n = \frac{N}{l} = \frac{1000}{.86} = 1162.79[/tex]
Now, plug this value into the equation for the magnetic field strength:
[tex]B = (4\pi \times 10^{-7})(1162.79)(3.6) = \boxed{0.00526 T}[/tex]
